81516024 has 64 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 26910432.

The previous prime is 81516011. The next prime is 81516041. The reversal of 81516024 is 42061518.

81516024 is a `hidden beast` number, since 8 + 1 + 51 + 602 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21349 + ... + 24875.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^81516024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81516024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

81516024 is an abundant number, since it is smaller than the sum of its proper divisors (147098376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81516024 is a wasteful number, since it uses less digits than its factorization.

81516024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 81516024 is about 9028.6224862932. The cubic root of 81516024 is about 433.5917359527.

The spelling of 81516024 in words is "eighty-one million, five hundred sixteen thousand, twenty-four".